ON THE PROPERNESS OF AN IMPULSIVE CONTROL EXTENSION OF DYNAMIC OPTIMIZATION PROBLEMS

Autor(es)

Karamzin, D. Y. ^{[1, 2]} ; de Oliveira, V. A. ^[1] ; Pereira, F. L. ^[3] ; Silva, G. N. ^[1]

Afiliação do(s) autor(es)

^[1] Univ Estadual Paulista, UNESP, Dept Appl Math, Sao Jose Do Rio Preto, SP - Brazil

^[2] Russian Acad Sci, Ctr Comp, Moscow - Russia

^[3] Univ Porto, Fac Engn, SYSTEC, P-4200465 Oporto - Portugal

• Tipo de documento: Artigo Científico
• Fonte: ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS; v. 21, n. 3, p. 857-875, JUL-SEP 2015.
• Citações Web of Science: 12

Resumo

This article investigates the properness, or well-posedness, of impulsive extension of a conventional optimal control problem. This includes both well-posedness of the solution to impulsive control systems arising as result of an impulsive extension of ordinary differential systems, and existence theorems. Well-posedness in the classic Cauchy sense is proved. Approximation lemmas that guarantee sensitivity to small perturbations in control variables are obtained. Filippov type existence theorems are established. A model example is provided to show the relevance of the impulsive controls problems which are under study. (AU)

• Processo FAPESP: 13/07375-0 - CeMEAI - Centro de Ciências Matemáticas Aplicadas à Indústria
• Beneficiário: José Alberto Cuminato
• Linha de fomento: Auxílio à Pesquisa - Centros de Pesquisa, Inovação e Difusão - CEPIDs